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Finding the Third Proportional to 267,788,612.25 and 413,621,586

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Solution

The third proportional to 267,788,612.25 and 413,621,586 is: 638,872,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,788,612.25 : 413,621,586 = 413,621,586 : x
  2. Step 2: Convert to fraction form
    267,788,612.25/413,621,586 = 413,621,586/x
  3. Step 3: Cross multiply
    267,788,612.25x = 413,621,586 × 413,621,586
  4. Step 4: Simplify right side
    267,788,612.25x = 171,082,816,405,155,392
  5. Step 5: Solve for x
    x = 171,082,816,405,155,392/267,788,612.25
  6. Step 6: Final answer
    x = 638,872,635.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.